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494200901376 = 28347132359193
BaseRepresentation
bin1110011000100001010…
…10110100111100000000
31202020121201011222110000
413030100222310330000
531044110412321001
61015011024240000
750463521231310
oct7142052647400
91666551158400
10494200901376
11180653585906
127b942a70000
13377ab893680
1419cc2d8d440
15ccc6981a86
hex7310ab4f00

494200901376 has 1440 divisors, whose sum is σ = 1934588113920. Its totient is φ = 121923698688.

The previous prime is 494200901347. The next prime is 494200901393. The reversal of 494200901376 is 673109002494.

It is a happy number.

494200901376 is a `hidden beast` number, since 4 + 9 + 420 + 0 + 90 + 137 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2560626336 + ... + 2560626528.

It is an arithmetic number, because the mean of its divisors is an integer number (1343463968).

Almost surely, 2494200901376 is an apocalyptic number.

494200901376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494200901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967294056960).

494200901376 is an abundant number, since it is smaller than the sum of its proper divisors (1440387212544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

494200901376 is a wasteful number, since it uses less digits than its factorization.

494200901376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 494200901376 in words is "four hundred ninety-four billion, two hundred million, nine hundred one thousand, three hundred seventy-six".